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Finding the Fourth Proportional to 6,176.86, 8,522.21 and 3,819.76

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Solution

The fourth proportional to 6,176.86, 8,522.21 and 3,819.76 is: 5,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.86 : 8,522.21 = 3,819.76 : x
  2. Step 2: Convert to fraction form
    6,176.86/8,522.21 = 3,819.76/x
  3. Step 3: Cross multiply
    6,176.86x = 8,522.21 × 3,819.76
  4. Step 4: Simplify right side
    6,176.86x = 32,552,785.11
  5. Step 5: Solve for x
    x = 32,552,785.11/6,176.86
  6. Step 6: Final answer
    x = 5,270.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.